The original song comes from Lionel Monckton's "The Geisha Girl". The chorus was:
Chin Chin Chinaman, welly welly sad! Me aflaid allee trade welly welly bad; No-ee joke, blokee bloke, makee shutee shop; Chin Chin Chinaman, chop chop chop.
One Glasgow playground version went:
Chin Chin Chinaman feeling very ill; Walkee walkee down the street, buy a Beecham's pill; Walkee walke home again, go to bed at night, Wake up in the morning with his shirt all shite.